Answer:
0.2425 or 24.25%
Step-by-step explanation:
If the shipment of 400 components contains 68 defective and, we can estimate the probability of selecting a defective components as
68/400 = 0.17
Now, we have a binomial experiment of 25 trials and we want to compute the probability that more than 5 trials are “success” (defective component)
P(X>5) = 1 - P(X≤ 5)
Since
<em>1 - P(X≤ 5) = 1 - (P(X=0) + P(X=1) + P(X=3) + P(X=4) + P(X=5)</em> =
![1-(\displaystyle\binom{25}{0}(0.17)^0(1-0.17)^{25}+\displaystyle\binom{25}{1}(0.17)^1(1-0.17)^{24}+\displaystyle\binom{25}{2}(0.17)^2(1-0.17)^{23}+\\\\+\displaystyle\binom{25}{3}(0.17)^3(1-0.17)^{22}+\displaystyle\binom{25}{4}(0.17)^4(1-0.17)^{21}+\displaystyle\binom{25}{5}(0.17)^5(1-0.17)^{20})=\\\\\Rightarrow \boxed{P(X>5)=0.2425}](https://tex.z-dn.net/?f=1-%28%5Cdisplaystyle%5Cbinom%7B25%7D%7B0%7D%280.17%29%5E0%281-0.17%29%5E%7B25%7D%2B%5Cdisplaystyle%5Cbinom%7B25%7D%7B1%7D%280.17%29%5E1%281-0.17%29%5E%7B24%7D%2B%5Cdisplaystyle%5Cbinom%7B25%7D%7B2%7D%280.17%29%5E2%281-0.17%29%5E%7B23%7D%2B%5C%5C%5C%5C%2B%5Cdisplaystyle%5Cbinom%7B25%7D%7B3%7D%280.17%29%5E3%281-0.17%29%5E%7B22%7D%2B%5Cdisplaystyle%5Cbinom%7B25%7D%7B4%7D%280.17%29%5E4%281-0.17%29%5E%7B21%7D%2B%5Cdisplaystyle%5Cbinom%7B25%7D%7B5%7D%280.17%29%5E5%281-0.17%29%5E%7B20%7D%29%3D%5C%5C%5C%5C%5CRightarrow%20%5Cboxed%7BP%28X%3E5%29%3D0.2425%7D)
Answer:
Area of shaded region = 28 in^2
Step-by-step explanation:
Area of rectangle = 8 x 5 = 40 in^2
Area of triangle = 1/2 x 8 x 3 = 12 in^2
Area of shaded region = 40 in^2 - 12 in^2 = 28 in^2
Answer:
Step-by-step explanation:
D
B
Answer:
ok so first we subtract 1500
5000-1500=3500
3500 divided by 250= 14
So it will take 14 months
Hope This Helps!!!
Answer:
16.970, 5.196, 19.05 and 9